8216336128 has 144 divisors (see below), whose sum is σ = 22021042176. Its totient is φ = 2954833920.

The previous prime is 8216336119. The next prime is 8216336129.

8216336128 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216336129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240225 + ... + 272287.

It is an arithmetic number, because the mean of its divisors is an integer number (152923904).

Almost surely, 2^8216336128 is an apocalyptic number.

8216336128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8216336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010521088).

8216336128 is an abundant number, since it is smaller than the sum of its proper divisors (13804706048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8216336128 is a wasteful number, since it uses less digits than its factorization.

8216336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32110 (or 32096 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 8216336128 is about 90644.0076783899. The cubic root of 8216336128 is about 2017.8679042863.

The spelling of 8216336128 in words is "eight billion, two hundred sixteen million, three hundred thirty-six thousand, one hundred twenty-eight".